10198801460256 has 96 divisors (see below), whose sum is σ = 28353788547840. Its totient is φ = 3200915314944.

The previous prime is 10198801460147. The next prime is 10198801460269. The reversal of 10198801460256 is 65206410889101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10198801460199 and 10198801460208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16854370 + ... + 17448993.

It is an arithmetic number, because the mean of its divisors is an integer number (295351964040).

Almost surely, 2^{10198801460256} is an apocalyptic number.

10198801460256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10198801460256 is an abundant number, since it is smaller than the sum of its proper divisors (18154987087584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10198801460256 is a wasteful number, since it uses less digits than its factorization.

10198801460256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34303558 (or 34303550 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 10198801460256 in words is "ten trillion, one hundred ninety-eight billion, eight hundred one million, four hundred sixty thousand, two hundred fifty-six".